mathsurgery - Written calculations and checking year 8

All
• Generalise in simple cases by working logically
• Understand and use the rules of arithmetic and inverse operations in the context of positive integers and decimals
• Use the order of operations, including brackets
• Use efficient written methods to add and subtract whole numbers and decimals with up to two places
• Multiply and divide three-digit by two-digit whole numbers; extend to multiplying and dividing decimals with one or two places by single-digit whole numbers
• Carry out calculations with more than one step using brackets and the memory; use the square root and sign change keys
• Enter numbers and interpret the display in different contexts (decimals, percentages, money, metric measures)
• Check results by considering whether they are of the right order of magnitude and by working problems backwards

Most
• Manipulate numbers and apply routine algorithms
• Conjecture and generalise
• Understand and use the rules of arithmetic and inverse operations in the context of integers and fractions
• Use the order of operations, including brackets, with more complex calculations
• Use efficient written methods to add and subtract integers and decimals of any size, including numbers with differing numbers of decimal places
• Use efficient written methods for multiplication & divisionof integers & decimals, including by decimals such as 0.6 or 0.06; understand where to position the decimal point by considering equivalent calculations
• Carry out more difficult calculations effectively and efficiently using the function keys for sign change, powers, roots and fractions; use brackets and the memory
• Enter numbers and interpret the display in different contexts (extend to negative numbers, fractions, time)
• Make and justify estimates and approximations of calculations
• Select from a range of checking methods, including estimating in context and using inverse operations

Some
• Recognise the impact of constraints or assumptions
• Understand the effects of multiplying and dividing by numbers between 0 and 1; consolidate use of the rules of arithmetic and inverse operations
• Understand the order of precedence of operations, including powers
• Use efficient writtenmethodsto add and subtract integers and decimals of any size; multiply by decimals; divide by decimals by transforming to division by an integer
• Use a calculator efficiently and appropriately to perform complex calculations with numbers of any size, knowing not to round during intermediate steps of a calculation; use the constant, pand sign change keys; use the function keys for powers, roots and fractions; use brackets and the memory
• Check results using appropriate methods

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Written calculations and checking year 8